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Questions and Answers
What is the definition of a line segment?
What is the definition of a line segment?
A measurable part of a line that consists of two points called endpoints and all the points between them.
What is the definition of a point?
What is the definition of a point?
A location. Neither shape nor size.
What is the definition of a segment bisector?
What is the definition of a segment bisector?
A segment, line, or plane that intersects a segment at its midpoint.
What is the definition of a regular polygon?
What is the definition of a regular polygon?
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What is the definition of a concave polygon?
What is the definition of a concave polygon?
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What is the definition of an obtuse angle?
What is the definition of an obtuse angle?
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What is the definition of a transversal?
What is the definition of a transversal?
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What is the definition of skew lines?
What is the definition of skew lines?
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What is the definition of corresponding angles?
What is the definition of corresponding angles?
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What is the definition of alternate interior angles?
What is the definition of alternate interior angles?
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What is the definition of inductive reasoning?
What is the definition of inductive reasoning?
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What is the definition of a diagonal?
What is the definition of a diagonal?
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What is the definition of a parallelogram?
What is the definition of a parallelogram?
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What is the definition of a rhombus?
What is the definition of a rhombus?
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What is the definition of a square?
What is the definition of a square?
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What is the definition of a trapezoid?
What is the definition of a trapezoid?
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What is the definition of a midsegment of a trapezoid?
What is the definition of a midsegment of a trapezoid?
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What are opposite rays?
What are opposite rays?
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What is the definition of a vertex?
What is the definition of a vertex?
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What does the term 'undefined terms' mean in geometry?
What does the term 'undefined terms' mean in geometry?
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What is a corollary?
What is a corollary?
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What is a conjecture?
What is a conjecture?
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What is a counter example?
What is a counter example?
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What is a flow proof?
What is a flow proof?
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What are the legs of an isosceles triangle?
What are the legs of an isosceles triangle?
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What is an included angle?
What is an included angle?
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What is an altitude in a triangle?
What is an altitude in a triangle?
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What is a perpendicular bisector in a triangle?
What is a perpendicular bisector in a triangle?
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What is a point of concurrency?
What is a point of concurrency?
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What is an orthocenter?
What is an orthocenter?
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What is the centroid of a triangle?
What is the centroid of a triangle?
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What is the circumcenter of a triangle?
What is the circumcenter of a triangle?
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What is a median of a triangle?
What is a median of a triangle?
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What is indirect reasoning?
What is indirect reasoning?
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What are alternate interior angles?
What are alternate interior angles?
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What are the defined terms in geometry?
What are the defined terms in geometry?
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Study Notes
Chapter 1 Vocabulary
- n-gon: A polygon with n sides
- Plane: A flat surface that extends indefinitely in all directions
- Linear pair: Two adjacent angles whose non-common sides are opposite rays
- Acute angle: An angle with a degree measure less than 90
- Distance: The length of a segment between two points
- Angle bisector: A ray that divides an angle into two congruent angles
- Opposite rays: Rays that share a common endpoint and are collinear
- Vertical angles: Two nonadjacent angles formed by intersecting lines
- Construction: A method of creating geometric figures without measuring tools
- Degrees: A unit of measure used for angles and arcs
- Vertex: A common endpoint of an angle
- Ray: Part of a line with one endpoint and extending indefinitely in one direction
- Undefined terms: Words easily understood, not formally explained
- Line segment: A measurable part of a line with two endpoints and all points between them
- Intersection: The set of points common to two or more geometric figures
- Coplanar: Points lying on the same plane
- Angle: Formed by two noncollinear rays with a common endpoint
- Point: A location with no size
- Line: Made up of points, with no thickness
- Segment bisector: A segment, line, or plane that intersects a segment at its midpoint
- Perpendicular: Lines, segments, or rays that form right angles
- Sides: The rays of an angle
- Midpoint: The point on a segment exactly halfway between the endpoints
- Congruent segments/angles: Segments or angles having the same measure
- Supplementary angles: Two angles whose measures add up to 180
- Complementary angles: Two angles whose measures add up to 90
- Collinear: Points lying on the same line
Chapter 2 Vocabulary
- Polygon: A closed figure formed by a finite number of coplanar segments
- Perimeter: The sum of the lengths of the sides of a polygon
- Regular polygon: A polygon with all congruent angles
- Concave: A polygon with a line containing a side and a point in the interior.
- Defined terms: Terms explained using other defined terms
- Obtuse angle: An angle with a degree measure greater than 90
- Regular polygon: A polygon with all congruent sides
- Area: The number of square units needed to cover a surface
- Space: Boundless three-dimensional set of all points
- Adjacent angles: Two angles lying on the same plane, with a common vertex and side, but no common interior points
- Alternate Interior Angles: Non-adjacent interior angles that lie on opposite sides of the transversal
- Point-slope form: y - y₁ = m(x - x₁)
- Parallel planes: Planes that do not intersect
- Theorem: A proven statement or conjecture
- Transversal: A line that intersects two or more lines at different points
- Consecutive interior angles: Interior angles on the same side of the transversal
- Statement: A sentence that is either true or false
- Skew lines: Lines that do not intersect and are not coplanar
- Slope: Ratio of change in y to change in x
- Corresponding angles: Angles that lie on the same side of the transversal and on the same side of the lines
- Parallel lines: Coplanar lines that do not intersect
- Slope-intercept form: y = mx + b
- Inductive reasoning: Arriving at a conclusion based on observations
- Postulate/axiom: A statement that is accepted as true without proof
- Deductive reasoning: Using facts, rules, definitions, or properties to reach a conclusion
Chapter 3 Vocabulary
- Formal proof: Statements and reasons arranged in two columns
- Counter example: Example showing a statement is not true
- Conjecture: Educated guess
- Corresponding Parts: Matching parts of congruent polygons
- Corollary: Statement easily proven using a theorem
- Vertex angle: The angle between the two sides of a polygon
- Base angle: Two angles formed by the base and congruent side of an isosceles triangle
- Auxiliary line: An extra line in a figure to understand geometric relationships
- Included angle: The angle formed by two sides
- Flow proof: Statements and reasons connected with boxes and arrows
- Congruent polygons: Polygons with congruent corresponding parts
- Exterior angle: Formed by one side and an extension of another side of a triangle
- Legs/sides of an isosceles triangle: The two equal sides of an isosceles triangle
- Remote interior angles: The two angles of a triangle not adjacent to the exterior angle
- Included side: The side of a polygon shared by two angles
Chapter 4 Vocabulary
- Incenter: Point of concurrency of the angle bisectors of a triangle
- Altitude: Segment from a vertex to the line containing the opposite side, perpendicular to that side
- Perpendicular bisector: A line/segment/ray that intersects the midpoint of a side and is perpendicular to that side
- Point of concurrency: Point of intersection of concurrent lines
- Orthocenter: Point of concurrency of the altitudes of a triangle
- Centroid: Point of concurrency of the medians of a triangle
- Concurrent lines: Three or more lines that intersect at a common point
- Circumcenter: Point of concurrency of perpendicular bisectors of the sides of a triangle
- Median: Segment joining a vertex and the midpoint of the opposite side of a triangle
- Indirect reasoning: Reasoning that leads to a contradiction to prove a statement
Chapter 6 Vocabulary
- Diagonal: Segment connecting two non-consecutive vertices of a polygon
- Parallelogram: Quadrilateral with both pairs of opposite sides parallel
- Rectangle: Parallelogram with four right angles
- Rhombus: Parallelogram with four congruent sides
- Square: Parallelogram with four congruent sides and four right angles
- Trapezoid: Quadrilateral with one pair of parallel sides
- Bases: Parallel sides of a trapezoid
- Legs: Non-parallel sides of a trapezoid
- Base angles: Angles formed by the base and the legs of a trapezoid
- Isosceles trapezoid: Trapezoid with congruent legs
- Midsegment of a trapezoid: Segment connecting the midpoints of the legs
- Kite: Quadrilateral with two pairs of adjacent congruent sides
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Description
Test your understanding of essential vocabulary from Chapter 1 of Geometry. This quiz covers key terms such as n-gon, acute angle, and angle bisector, among others. Perfect for reinforcing foundational concepts in geometry.